#pragma once

/*
** this is a table lookup for all "flush" hands (e.g.  both
** flushes and straight-flushes.  entries containing a zero
** mean that combination is not possible with a five-card
** flush hand.
*/
short flushes[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 1599, 0, 0, 0, 0, 0, 0, 0, 1598, 0, 0, 0, 1597, 0, 1596,
8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1595, 0, 0, 0,
0, 0, 0, 0, 1594, 0, 0, 0, 1593, 0, 1592, 1591, 0, 0, 0, 0, 0, 0,
0,  0,  1590,  0, 0, 0, 1589, 0, 1588, 1587, 0, 0, 0, 0, 1586, 0,
1585, 1584, 0, 0, 1583, 1582, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1581, 0, 0, 0, 0, 0, 0, 0, 1580, 0, 0, 0,
1579, 0, 1578, 1577, 0, 0, 0, 0, 0, 0, 0, 0, 1576, 0, 0, 0, 1575,
0, 1574, 1573, 0, 0, 0, 0, 1572, 0, 1571, 1570, 0, 0, 1569, 1568,
0, 1567, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1566, 0, 0,  0,  1565,  0,
1564, 1563, 0, 0, 0, 0, 1562, 0, 1561, 1560, 0, 0, 1559, 1558, 0,
1557, 0, 0, 0, 0, 0, 0, 1556, 0, 1555, 1554, 0, 0, 1553, 1552, 0,
1551, 0, 0, 0, 0, 1550, 1549, 0, 1548, 0, 0, 0, 6, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1547, 0, 0, 0,
0, 0, 0, 0, 1546, 0, 0, 0, 1545, 0, 1544, 1543, 0, 0, 0, 0, 0, 0,
0, 0, 1542, 0, 0, 0, 1541, 0, 1540, 1539, 0, 0, 0,  0,  1538,  0,
1537, 1536, 0, 0, 1535, 1534, 0, 1533, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1532, 0, 0, 0, 1531, 0, 1530, 1529, 0, 0, 0, 0, 1528, 0, 1527,
1526, 0, 0, 1525, 1524, 0, 1523, 0, 0, 0, 0, 0, 0, 1522, 0, 1521,
1520, 0, 0, 1519, 1518, 0, 1517, 0, 0, 0, 0, 1516, 1515, 0, 1514,
0, 0, 0, 1513, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1512, 0,
0, 0, 1511, 0, 1510, 1509, 0, 0, 0, 0, 1508, 0, 1507, 1506, 0, 0,
1505, 1504, 0, 1503, 0, 0, 0, 0, 0, 0, 1502, 0, 1501, 1500, 0, 0,
1499, 1498, 0, 1497, 0, 0, 0, 0, 1496, 1495, 0, 1494,  0,  0,  0,
1493,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 1492, 0, 1491, 1490, 0, 0,
1489, 1488, 0, 1487, 0, 0, 0, 0, 1486, 1485, 0, 1484,  0,  0,  0,
1483, 0, 0, 0, 0, 0, 0, 0, 0, 1482, 1481, 0, 1480, 0, 0, 0, 1479,
0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1478, 0, 0, 0, 0,
0, 0, 0, 1477, 0, 0, 0, 1476, 0, 1475, 1474, 0, 0, 0, 0, 0, 0, 0,
0, 1473, 0, 0, 0, 1472, 0, 1471, 1470, 0, 0, 0, 0, 1469, 0, 1468,
1467, 0, 0, 1466, 1465, 0, 1464, 0, 0, 0, 0, 0, 0, 0,  0,  0,  0,
1463,  0,  0,  0, 1462, 0, 1461, 1460, 0, 0, 0, 0, 1459, 0, 1458,
1457, 0, 0, 1456, 1455, 0, 1454, 0, 0, 0, 0, 0, 0, 1453, 0, 1452,
1451, 0, 0, 1450, 1449, 0, 1448, 0, 0, 0, 0, 1447, 1446, 0, 1445,
0, 0, 0, 1444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1443, 0,
0, 0, 1442, 0, 1441, 1440, 0, 0, 0, 0, 1439, 0, 1438, 1437, 0, 0,
1436, 1435, 0, 1434, 0, 0, 0, 0, 0, 0, 1433, 0, 1432, 1431, 0, 0,
1430,  1429,  0,  1428, 0, 0, 0, 0, 1427, 1426, 0, 1425, 0, 0, 0,
1424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1423, 0, 1422,  1421,  0,  0,
1420,  1419,  0,  1418, 0, 0, 0, 0, 1417, 1416, 0, 1415, 0, 0, 0,
1414, 0, 0, 0, 0, 0, 0, 0, 0, 1413, 1412, 0, 1411, 0, 0, 0, 1410,
0, 0, 0, 0, 0, 0, 0, 1409, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1408, 0, 0, 0, 1407, 0, 1406, 1405, 0,
0, 0, 0, 1404, 0, 1403, 1402, 0, 0, 1401, 1400, 0, 1399, 0, 0, 0,
0, 0, 0, 1398, 0, 1397, 1396, 0, 0, 1395, 1394, 0, 1393, 0, 0, 0,
0, 1392, 1391, 0, 1390, 0, 0, 0, 1389, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1388, 0, 1387, 1386, 0, 0, 1385, 1384, 0, 1383, 0,  0,  0,  0,
1382, 1381, 0, 1380, 0, 0, 0, 1379, 0, 0, 0, 0, 0, 0, 0, 0, 1378,
1377, 0, 1376, 0, 0, 0, 1375, 0, 0, 0, 0, 0, 0, 0, 1374, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1373, 0, 1372, 1371,
0, 0, 1370, 1369, 0, 1368, 0, 0, 0, 0, 1367, 1366, 0, 1365, 0, 0,
0,  1364,  0,  0, 0, 0, 0, 0, 0, 0, 1363, 1362, 0, 1361, 0, 0, 0,
1360, 0, 0, 0, 0, 0, 0, 0, 1359, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1358, 1357, 0, 1356, 0, 0, 0, 1355, 0, 0, 0, 0, 0,
0, 0, 1354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1353, 0, 0, 0, 0, 0, 0, 0, 1352, 0, 0, 0, 1351, 0, 1350, 1349, 0,
0, 0, 0, 0, 0, 0, 0, 1348, 0, 0, 0, 1347, 0, 1346, 1345, 0, 0, 0,
0, 1344, 0, 1343, 1342, 0, 0, 1341, 1340, 0, 1339, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1338, 0, 0, 0, 1337, 0, 1336, 1335, 0,  0,  0,  0,
1334, 0, 1333, 1332, 0, 0, 1331, 1330, 0, 1329, 0, 0, 0, 0, 0, 0,
1328, 0, 1327, 1326, 0, 0, 1325, 1324, 0, 1323, 0, 0, 0, 0, 1322,
1321, 0, 1320, 0, 0, 0, 1319, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1318, 0, 0, 0, 1317, 0, 1316, 1315, 0, 0, 0,  0,  1314,  0,
1313, 1312, 0, 0, 1311, 1310, 0, 1309, 0, 0, 0, 0, 0, 0, 1308, 0,
1307, 1306, 0, 0, 1305, 1304, 0, 1303, 0, 0, 0, 0, 1302, 1301, 0,
1300, 0, 0, 0, 1299, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1298, 0, 1297,
1296, 0, 0, 1295, 1294, 0, 1293, 0, 0, 0, 0, 1292, 1291, 0, 1290,
0, 0, 0, 1289, 0, 0, 0, 0, 0, 0, 0, 0, 1288, 1287, 0, 1286, 0, 0,
0, 1285, 0, 0, 0, 0, 0, 0, 0, 1284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1283, 0, 0, 0, 1282, 0, 1281,
1280, 0, 0, 0, 0, 1279, 0, 1278, 1277, 0, 0, 1276, 1275, 0, 1274,
0, 0, 0, 0, 0, 0, 1273, 0, 1272, 1271, 0, 0, 1270, 1269, 0, 1268,
0, 0, 0, 0, 1267, 1266, 0, 1265, 0, 0, 0, 1264, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1263, 0, 1262, 1261, 0, 0, 1260, 1259, 0, 1258, 0, 0,
0, 0, 1257, 1256, 0, 1255, 0, 0, 0, 1254, 0, 0, 0, 0, 0, 0, 0, 0,
1253, 1252, 0, 1251, 0, 0, 0, 1250, 0, 0, 0, 0, 0, 0, 0, 1249, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1248, 0, 1247,
1246, 0, 0, 1245, 1244, 0, 1243, 0, 0, 0, 0, 1242, 1241, 0, 1240,
0, 0, 0, 1239, 0, 0, 0, 0, 0, 0, 0, 0, 1238, 1237, 0, 1236, 0, 0,
0, 1235, 0, 0, 0, 0, 0, 0, 0, 1234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1233, 1232, 0, 1231, 0, 0, 0, 1230, 0, 0, 0, 0,
0, 0, 0, 1229, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1228,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1227, 0, 0, 0,
1226, 0, 1225, 1224, 0, 0, 0, 0, 1223, 0, 1222, 1221, 0, 0, 1220,
1219, 0, 1218, 0, 0, 0, 0, 0, 0, 1217, 0, 1216, 1215, 0, 0, 1214,
1213, 0, 1212, 0, 0, 0, 0, 1211, 1210, 0, 1209, 0, 0, 0, 1208, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1207, 0, 1206, 1205, 0, 0, 1204, 1203,
0, 1202, 0, 0, 0, 0, 1201, 1200, 0, 1199, 0, 0, 0, 1198, 0, 0, 0,
0, 0, 0, 0, 0, 1197, 1196, 0, 1195, 0, 0, 0, 1194, 0, 0, 0, 0, 0,
0, 0, 1193, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1192, 0, 1191, 1190, 0, 0, 1189, 1188, 0, 1187, 0, 0, 0, 0, 1186,
1185, 0, 1184, 0, 0, 0, 1183, 0, 0, 0, 0, 0, 0, 0, 0, 1182, 1181,
0, 1180, 0, 0, 0, 1179, 0, 0, 0, 0, 0, 0, 0, 1178, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1177, 1176, 0, 1175,  0,  0,  0,
1174, 0, 0, 0, 0, 0, 0, 0, 1173, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1171, 0,
1170, 1169, 0, 0, 1168, 1167, 0, 1166, 0, 0, 0, 0, 1165, 1164, 0,
1163, 0, 0, 0, 1162, 0, 0, 0, 0, 0, 0, 0, 0, 1161, 1160, 0, 1159,
0, 0, 0, 1158, 0, 0, 0, 0, 0, 0, 0, 1157, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1156, 1155, 0, 1154, 0, 0, 0, 1153, 0, 0,
0, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1150, 1149, 0, 1148, 0, 0, 0,
1147, 0, 0, 0, 0, 0, 0, 0, 1146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1145, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1144, 0, 0, 0, 0, 0, 0, 0, 1143, 0, 0, 0, 1142,
0, 1141, 1140, 0, 0, 0, 0, 0, 0, 0, 0, 1139, 0, 0,  0,  1138,  0,
1137, 1136, 0, 0, 0, 0, 1135, 0, 1134, 1133, 0, 0, 1132, 1131, 0,
1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1129, 0, 0, 0, 1128, 0, 1127,
1126, 0, 0, 0, 0, 1125, 0, 1124, 1123, 0, 0, 1122, 1121, 0, 1120,
0, 0, 0, 0, 0, 0, 1119, 0, 1118, 1117, 0, 0, 1116, 1115, 0, 1114,
0, 0, 0, 0, 1113, 1112, 0, 1111, 0, 0, 0, 1110, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1109, 0, 0, 0, 1108, 0, 1107, 1106, 0, 0,
0, 0, 1105, 0, 1104, 1103, 0, 0, 1102, 1101, 0, 1100, 0, 0, 0, 0,
0, 0, 1099, 0, 1098, 1097, 0, 0, 1096, 1095, 0, 1094, 0, 0, 0, 0,
1093, 1092, 0, 1091, 0, 0, 0, 1090, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1089, 0, 1088, 1087, 0, 0, 1086, 1085, 0, 1084, 0, 0, 0, 0, 1083,
1082, 0, 1081, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 0, 0, 0, 1079, 1078,
0, 1077, 0, 0, 0, 1076, 0, 0, 0, 0, 0, 0, 0, 1075, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1074, 0, 0, 0,
1073, 0, 1072, 1071, 0, 0, 0, 0, 1070, 0, 1069, 1068, 0, 0, 1067,
1066, 0, 1065, 0, 0, 0, 0, 0, 0, 1064, 0, 1063, 1062, 0, 0, 1061,
1060, 0, 1059, 0, 0, 0, 0, 1058, 1057, 0, 1056, 0, 0, 0, 1055, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1054, 0, 1053, 1052, 0, 0, 1051, 1050,
0, 1049, 0, 0, 0, 0, 1048, 1047, 0, 1046, 0, 0, 0, 1045, 0, 0, 0,
0, 0, 0, 0, 0, 1044, 1043, 0, 1042, 0, 0, 0, 1041, 0, 0, 0, 0, 0,
0, 0, 1040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1039, 0, 1038, 1037, 0, 0, 1036, 1035, 0, 1034, 0, 0, 0, 0, 1033,
1032, 0, 1031, 0, 0, 0, 1030, 0, 0, 0, 0, 0, 0, 0, 0, 1029, 1028,
0, 1027, 0, 0, 0, 1026, 0, 0, 0, 0, 0, 0, 0, 1025, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1024, 1023, 0, 1022,  0,  0,  0,
1021, 0, 0, 0, 0, 0, 0, 0, 1020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1019, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1018, 0, 0, 0, 1017, 0, 1016, 1015, 0, 0, 0, 0,  1014,  0,  1013,
1012, 0, 0, 1011, 1010, 0, 1009, 0, 0, 0, 0, 0, 0, 1008, 0, 1007,
1006, 0, 0, 1005, 1004, 0, 1003, 0, 0, 0, 0, 1002, 1001, 0, 1000,
0,  0, 0, 999, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 998, 0, 997, 996, 0,
0, 995, 994, 0, 993, 0, 0, 0, 0, 992, 991, 0, 990, 0, 0, 0,  989,
0,  0, 0, 0, 0, 0, 0, 0, 988, 987, 0, 986, 0, 0, 0, 985, 0, 0, 0,
0, 0, 0, 0, 984, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,
0,  0, 983, 0, 982, 981, 0, 0, 980, 979, 0, 978, 0, 0, 0, 0, 977,
976, 0, 975, 0, 0, 0, 974, 0, 0, 0, 0, 0, 0, 0, 0, 973,  972,  0,
971, 0, 0, 0, 970, 0, 0, 0, 0, 0, 0, 0, 969, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 968, 967, 0, 966, 0, 0, 0, 965, 0,  0,
0,  0, 0, 0, 0, 964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
963, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 962, 0, 961, 960, 0, 0,
959, 958, 0, 957, 0, 0, 0, 0, 956, 955, 0, 954, 0, 0, 0, 953,  0,
0,  0, 0, 0, 0, 0, 0, 952, 951, 0, 950, 0, 0, 0, 949, 0, 0, 0, 0,
0, 0, 0, 948, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0,  0,  0,
947,  946,  0, 945, 0, 0, 0, 944, 0, 0, 0, 0, 0, 0, 0, 943, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 942, 0, 0, 0, 0, 0, 0,  0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 941, 940, 0, 939, 0, 0, 0, 938, 0, 0, 0,  0,  0,  0,  0,
937,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 936, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0, 0, 0, 0, 0, 935, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 934, 0, 0, 0,  933,  0,  932,
931,  0, 0, 0, 0, 930, 0, 929, 928, 0, 0, 927, 926, 0, 925, 0, 0,
0, 0, 0, 0, 924, 0, 923, 922, 0, 0, 921, 920, 0, 919, 0, 0, 0, 0,
918,  917,  0,  916,  0, 0, 0, 915, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
914, 0, 913, 912, 0, 0, 911, 910, 0, 909, 0, 0, 0, 0,  908,  907,
0,  906,  0, 0, 0, 905, 0, 0, 0, 0, 0, 0, 0, 0, 904, 903, 0, 902,
0, 0, 0, 901, 0, 0, 0, 0, 0, 0, 0, 900, 0, 0, 0, 0, 0, 0,  0,  0,
0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 899, 0, 898, 897, 0, 0, 896, 895,
0, 894, 0, 0, 0, 0, 893, 892, 0, 891, 0, 0, 0, 890, 0, 0,  0,  0,
0,  0, 0, 0, 889, 888, 0, 887, 0, 0, 0, 886, 0, 0, 0, 0, 0, 0, 0,
885, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 884, 883, 0,
882, 0, 0, 0, 881, 0, 0, 0, 0, 0, 0, 0, 880, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 879, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
878, 0, 877, 876, 0, 0, 875, 874, 0, 873, 0, 0, 0, 0,  872,  871,
0,  870,  0, 0, 0, 869, 0, 0, 0, 0, 0, 0, 0, 0, 868, 867, 0, 866,
0, 0, 0, 865, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, 0,  0,  0,
0,  0, 0, 0, 0, 0, 0, 0, 863, 862, 0, 861, 0, 0, 0, 860, 0, 0, 0,
0, 0, 0, 0, 859, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0,  0,  0,
858,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 366, 0, 365, 364, 0, 0, 363, 362,
0, 361, 0, 0, 0, 0, 360, 359, 0, 358, 0, 0, 0, 357, 0, 0,  0,  0,
0,  0, 0, 0, 356, 355, 0, 354, 0, 0, 0, 353, 0, 0, 0, 0, 0, 0, 0,
352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 351, 350, 0,
349, 0, 0, 0, 348, 0, 0, 0, 0, 0, 0, 0, 347, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,
0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 345,
344, 0, 343, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 341, 0, 0, 0,  0,
0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 340, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
339,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
338, 337, 0, 336, 0, 0, 0, 335, 0, 0, 0, 0, 0, 0, 0, 334,  0,  0,
0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 333, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0, 332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 331, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
330, 329, 0, 328, 0, 0, 0, 327, 0, 0, 0, 0, 0, 0, 0, 326,  0,  0,
0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 325, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 323, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
};



/*
** this is a table lookup for all non-flush hands consisting
** of five unique ranks (i.e.  either Straights or High Card
** hands).  it's similar to the above "flushes" array.
*/
short unique5[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 7462, 0, 0, 0, 0, 0, 0, 0, 7461, 0, 0,  0,  7460,  0,
7459, 1607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7458,
0, 0, 0, 0, 0, 0, 0, 7457, 0, 0, 0, 7456, 0, 7455, 7454, 0, 0, 0,
0,  0,  0,  0, 0, 7453, 0, 0, 0, 7452, 0, 7451, 7450, 0, 0, 0, 0,
7449, 0, 7448, 7447, 0, 0, 7446, 7445, 0, 1606, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 7444, 0, 0, 0, 0, 0, 0, 0,
7443, 0, 0, 0, 7442, 0, 7441, 7440, 0, 0, 0, 0, 0, 0, 0, 0, 7439,
0, 0, 0, 7438, 0, 7437, 7436, 0, 0, 0, 0, 7435, 0, 7434, 7433, 0,
0, 7432, 7431, 0, 7430, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7429, 0, 0,
0,  7428,  0,  7427, 7426, 0, 0, 0, 0, 7425, 0, 7424, 7423, 0, 0,
7422, 7421, 0, 7420, 0, 0, 0, 0, 0, 0, 7419, 0, 7418, 7417, 0, 0,
7416,  7415,  0,  7414, 0, 0, 0, 0, 7413, 7412, 0, 7411, 0, 0, 0,
1605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  7410,  0, 0, 0, 0, 0, 0, 0, 7409, 0, 0, 0, 7408, 0, 7407,
7406, 0, 0, 0, 0, 0, 0, 0, 0, 7405, 0, 0, 0, 7404, 0, 7403, 7402,
0, 0, 0, 0, 7401, 0, 7400, 7399, 0, 0, 7398, 7397, 0, 7396, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 7395, 0, 0, 0, 7394, 0, 7393, 7392, 0, 0,
0, 0, 7391, 0, 7390, 7389, 0, 0, 7388, 7387, 0, 7386, 0, 0, 0, 0,
0, 0, 7385, 0, 7384, 7383, 0, 0, 7382, 7381, 0, 7380, 0, 0, 0, 0,
7379, 7378, 0, 7377, 0, 0, 0, 7376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 7375, 0, 0, 0, 7374, 0, 7373, 7372, 0, 0, 0, 0, 7371,
0, 7370, 7369, 0, 0, 7368, 7367, 0, 7366, 0, 0, 0, 0, 0, 0, 7365,
0, 7364, 7363, 0, 0, 7362, 7361, 0, 7360, 0, 0, 0, 0, 7359, 7358,
0,  7357,  0,  0, 0, 7356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7355, 0,
7354, 7353, 0, 0, 7352, 7351, 0, 7350, 0, 0, 0, 0, 7349, 7348, 0,
7347, 0, 0, 0, 7346, 0, 0, 0, 0, 0, 0, 0, 0, 7345, 7344, 0, 7343,
0, 0, 0, 7342, 0, 0, 0, 0, 0, 0, 0, 1604, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
7341, 0, 0, 0, 0, 0, 0, 0, 7340, 0, 0, 0, 7339, 0, 7338, 7337, 0,
0, 0, 0, 0, 0, 0, 0, 7336, 0, 0, 0, 7335, 0, 7334, 7333, 0, 0, 0,
0, 7332, 0, 7331, 7330, 0, 0, 7329, 7328, 0, 7327, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 7326, 0, 0, 0, 7325, 0, 7324, 7323, 0, 0, 0, 0,
7322, 0, 7321, 7320, 0, 0, 7319, 7318, 0, 7317, 0, 0, 0, 0, 0, 0,
7316, 0, 7315, 7314, 0, 0, 7313, 7312, 0, 7311, 0, 0, 0, 0, 7310,
7309, 0, 7308, 0, 0, 0, 7307, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  7306,  0, 0, 0, 7305, 0, 7304, 7303, 0, 0, 0, 0, 7302, 0,
7301, 7300, 0, 0, 7299, 7298, 0, 7297, 0, 0, 0, 0, 0, 0, 7296, 0,
7295, 7294, 0, 0, 7293, 7292, 0, 7291, 0, 0, 0, 0, 7290, 7289, 0,
7288, 0, 0, 0, 7287, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7286, 0, 7285,
7284, 0, 0, 7283, 7282, 0, 7281, 0, 0, 0, 0, 7280, 7279, 0, 7278,
0, 0, 0, 7277, 0, 0, 0, 0, 0, 0, 0, 0, 7276, 7275, 0, 7274, 0, 0,
0, 7273, 0, 0, 0, 0, 0, 0, 0, 7272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7271, 0, 0, 0, 7270, 0, 7269,
7268, 0, 0, 0, 0, 7267, 0, 7266, 7265, 0, 0, 7264, 7263, 0, 7262,
0, 0, 0, 0, 0, 0, 7261, 0, 7260, 7259, 0, 0, 7258, 7257, 0, 7256,
0, 0, 0, 0, 7255, 7254, 0, 7253, 0, 0, 0, 7252, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 7251, 0, 7250, 7249, 0, 0, 7248, 7247, 0, 7246, 0, 0,
0, 0, 7245, 7244, 0, 7243, 0, 0, 0, 7242, 0, 0, 0, 0, 0, 0, 0, 0,
7241, 7240, 0, 7239, 0, 0, 0, 7238, 0, 0, 0, 0, 0, 0, 0, 7237, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7236, 0, 7235,
7234, 0, 0, 7233, 7232, 0, 7231, 0, 0, 0, 0, 7230, 7229, 0, 7228,
0, 0, 0, 7227, 0, 0, 0, 0, 0, 0, 0, 0, 7226, 7225, 0, 7224, 0, 0,
0, 7223, 0, 0, 0, 0, 0, 0, 0, 7222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 7221, 7220, 0, 7219, 0, 0, 0, 7218, 0, 0, 0, 0,
0, 0, 0, 7217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1603,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  7216,  0, 0, 0, 0, 0, 0, 0, 7215, 0, 0, 0, 7214, 0, 7213,
7212, 0, 0, 0, 0, 0, 0, 0, 0, 7211, 0, 0, 0, 7210, 0, 7209, 7208,
0, 0, 0, 0, 7207, 0, 7206, 7205, 0, 0, 7204, 7203, 0, 7202, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 7201, 0, 0, 0, 7200, 0, 7199, 7198, 0, 0,
0, 0, 7197, 0, 7196, 7195, 0, 0, 7194, 7193, 0, 7192, 0, 0, 0, 0,
0, 0, 7191, 0, 7190, 7189, 0, 0, 7188, 7187, 0, 7186, 0, 0, 0, 0,
7185, 7184, 0, 7183, 0, 0, 0, 7182, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 7181, 0, 0, 0, 7180, 0, 7179, 7178, 0, 0, 0, 0, 7177,
0, 7176, 7175, 0, 0, 7174, 7173, 0, 7172, 0, 0, 0, 0, 0, 0, 7171,
0, 7170, 7169, 0, 0, 7168, 7167, 0, 7166, 0, 0, 0, 0, 7165, 7164,
0,  7163,  0,  0, 0, 7162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7161, 0,
7160, 7159, 0, 0, 7158, 7157, 0, 7156, 0, 0, 0, 0, 7155, 7154, 0,
7153, 0, 0, 0, 7152, 0, 0, 0, 0, 0, 0, 0, 0, 7151, 7150, 0, 7149,
0, 0, 0, 7148, 0, 0, 0, 0, 0, 0, 0, 7147, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7146, 0, 0, 0, 7145, 0,
7144, 7143, 0, 0, 0, 0, 7142, 0, 7141, 7140, 0, 0, 7139, 7138, 0,
7137, 0, 0, 0, 0, 0, 0, 7136, 0, 7135, 7134, 0, 0, 7133, 7132, 0,
7131, 0, 0, 0, 0, 7130, 7129, 0, 7128, 0, 0, 0, 7127, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 7126, 0, 7125, 7124, 0, 0, 7123, 7122, 0, 7121,
0, 0, 0, 0, 7120, 7119, 0, 7118, 0, 0, 0, 7117, 0, 0, 0, 0, 0, 0,
0,  0,  7116,  7115, 0, 7114, 0, 0, 0, 7113, 0, 0, 0, 0, 0, 0, 0,
7112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7111,
0, 7110, 7109, 0, 0, 7108, 7107, 0, 7106, 0, 0, 0, 0, 7105, 7104,
0, 7103, 0, 0, 0, 7102, 0, 0, 0, 0, 0, 0, 0, 0,  7101,  7100,  0,
7099, 0, 0, 0, 7098, 0, 0, 0, 0, 0, 0, 0, 7097, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7096, 7095, 0, 7094, 0, 0, 0, 7093,
0, 0, 0, 0, 0, 0, 0, 7092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 7091, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7090,
0, 0, 0, 7089, 0, 7088, 7087, 0, 0, 0, 0, 7086, 0, 7085, 7084, 0,
0, 7083, 7082, 0, 7081, 0, 0, 0, 0, 0, 0, 7080, 0, 7079, 7078, 0,
0, 7077, 7076, 0, 7075, 0, 0, 0, 0, 7074, 7073, 0, 7072, 0, 0, 0,
7071,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 7070, 0, 7069, 7068, 0, 0,
7067, 7066, 0, 7065, 0, 0, 0, 0, 7064, 7063, 0, 7062,  0,  0,  0,
7061, 0, 0, 0, 0, 0, 0, 0, 0, 7060, 7059, 0, 7058, 0, 0, 0, 7057,
0, 0, 0, 0, 0, 0, 0, 7056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 7055, 0, 7054, 7053, 0, 0, 7052, 7051, 0, 7050, 0,
0, 0, 0, 7049, 7048, 0, 7047, 0, 0, 0, 7046, 0, 0, 0, 0, 0, 0, 0,
0, 7045, 7044, 0, 7043, 0, 0, 0, 7042, 0, 0, 0, 0, 0, 0, 0, 7041,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  7040,  7039,  0,
7038, 0, 0, 0, 7037, 0, 0, 0, 0, 0, 0, 0, 7036, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 7035, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 7034, 0, 7033, 7032, 0, 0, 7031, 7030, 0, 7029, 0,  0,  0,  0,
7028, 7027, 0, 7026, 0, 0, 0, 7025, 0, 0, 0, 0, 0, 0, 0, 0, 7024,
7023, 0, 7022, 0, 0, 0, 7021, 0, 0, 0, 0, 0, 0, 0, 7020, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7019, 7018, 0, 7017, 0, 0,
0, 7016, 0, 0, 0, 0, 0, 0, 0, 7015, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 7014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7013, 7012, 0,
7011, 0, 0, 0, 7010, 0, 0, 0, 0, 0, 0, 0, 7009, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 7008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1602,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 7007, 0, 0, 0, 0, 0, 0, 0,
7006, 0, 0, 0, 7005, 0, 7004, 7003, 0, 0, 0, 0, 0, 0, 0, 0, 7002,
0, 0, 0, 7001, 0, 7000, 6999, 0, 0, 0, 0, 6998, 0, 6997, 6996, 0,
0, 6995, 6994, 0, 6993, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6992, 0, 0,
0,  6991,  0,  6990, 6989, 0, 0, 0, 0, 6988, 0, 6987, 6986, 0, 0,
6985, 6984, 0, 6983, 0, 0, 0, 0, 0, 0, 6982, 0, 6981, 6980, 0, 0,
6979,  6978,  0,  6977, 0, 0, 0, 0, 6976, 6975, 0, 6974, 0, 0, 0,
6973, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6972,  0,  0,  0,
6971, 0, 6970, 6969, 0, 0, 0, 0, 6968, 0, 6967, 6966, 0, 0, 6965,
6964, 0, 6963, 0, 0, 0, 0, 0, 0, 6962, 0, 6961, 6960, 0, 0, 6959,
6958, 0, 6957, 0, 0, 0, 0, 6956, 6955, 0, 6954, 0, 0, 0, 6953, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 6952, 0, 6951, 6950, 0, 0, 6949, 6948,
0, 6947, 0, 0, 0, 0, 6946, 6945, 0, 6944, 0, 0, 0, 6943, 0, 0, 0,
0, 0, 0, 0, 0, 6942, 6941, 0, 6940, 0, 0, 0, 6939, 0, 0, 0, 0, 0,
0, 0, 6938, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6937, 0, 0, 0, 6936, 0, 6935, 6934, 0, 0, 0, 0, 6933,
0, 6932, 6931, 0, 0, 6930, 6929, 0, 6928, 0, 0, 0, 0, 0, 0, 6927,
0, 6926, 6925, 0, 0, 6924, 6923, 0, 6922, 0, 0, 0, 0, 6921, 6920,
0,  6919,  0,  0, 0, 6918, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6917, 0,
6916, 6915, 0, 0, 6914, 6913, 0, 6912, 0, 0, 0, 0, 6911, 6910, 0,
6909, 0, 0, 0, 6908, 0, 0, 0, 0, 0, 0, 0, 0, 6907, 6906, 0, 6905,
0, 0, 0, 6904, 0, 0, 0, 0, 0, 0, 0, 6903, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 6902, 0, 6901, 6900, 0, 0, 6899,
6898, 0, 6897, 0, 0, 0, 0, 6896, 6895, 0, 6894, 0, 0, 0, 6893, 0,
0, 0, 0, 0, 0, 0, 0, 6892, 6891, 0, 6890, 0, 0, 0, 6889, 0, 0, 0,
0, 0, 0, 0, 6888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6887, 6886, 0, 6885, 0, 0, 0, 6884, 0, 0, 0, 0, 0, 0, 0, 6883, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6882, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6881, 0, 0, 0, 6880, 0, 6879, 6878,
0, 0, 0, 0, 6877, 0, 6876, 6875, 0, 0, 6874, 6873, 0, 6872, 0, 0,
0, 0, 0, 0, 6871, 0, 6870, 6869, 0, 0, 6868, 6867, 0, 6866, 0, 0,
0, 0, 6865, 6864, 0, 6863, 0, 0, 0, 6862, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 6861, 0, 6860, 6859, 0, 0, 6858, 6857, 0, 6856, 0, 0, 0, 0,
6855, 6854, 0, 6853, 0, 0, 0, 6852, 0, 0, 0, 0, 0, 0, 0, 0, 6851,
6850, 0, 6849, 0, 0, 0, 6848, 0, 0, 0, 0, 0, 0, 0, 6847, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6846, 0, 6845, 6844,
0, 0, 6843, 6842, 0, 6841, 0, 0, 0, 0, 6840, 6839, 0, 6838, 0, 0,
0,  6837,  0,  0, 0, 0, 0, 0, 0, 0, 6836, 6835, 0, 6834, 0, 0, 0,
6833, 0, 0, 0, 0, 0, 0, 0, 6832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 6831, 6830, 0, 6829, 0, 0, 0, 6828, 0, 0, 0, 0, 0,
0, 0, 6827, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6826, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6825, 0, 6824, 6823, 0, 0, 6822,
6821, 0, 6820, 0, 0, 0, 0, 6819, 6818, 0, 6817, 0, 0, 0, 6816, 0,
0, 0, 0, 0, 0, 0, 0, 6815, 6814, 0, 6813, 0, 0, 0, 6812, 0, 0, 0,
0, 0, 0, 0, 6811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6810, 6809, 0, 6808, 0, 0, 0, 6807, 0, 0, 0, 0, 0, 0, 0, 6806, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6805, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6804, 6803, 0, 6802, 0, 0, 0, 6801, 0, 0, 0, 0, 0, 0,
0, 6800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6799, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6798, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6797, 0, 0, 0, 6796, 0,
6795, 6794, 0, 0, 0, 0, 6793, 0, 6792, 6791, 0, 0, 6790, 6789, 0,
6788, 0, 0, 0, 0, 0, 0, 6787, 0, 6786, 6785, 0, 0, 6784, 6783, 0,
6782, 0, 0, 0, 0, 6781, 6780, 0, 6779, 0, 0, 0, 6778, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6777, 0, 6776, 6775, 0, 0, 6774, 6773, 0, 6772,
0, 0, 0, 0, 6771, 6770, 0, 6769, 0, 0, 0, 6768, 0, 0, 0, 0, 0, 0,
0,  0,  6767,  6766, 0, 6765, 0, 0, 0, 6764, 0, 0, 0, 0, 0, 0, 0,
6763, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6762,
0, 6761, 6760, 0, 0, 6759, 6758, 0, 6757, 0, 0, 0, 0, 6756, 6755,
0, 6754, 0, 0, 0, 6753, 0, 0, 0, 0, 0, 0, 0, 0,  6752,  6751,  0,
6750, 0, 0, 0, 6749, 0, 0, 0, 0, 0, 0, 0, 6748, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6747, 6746, 0, 6745, 0, 0, 0, 6744,
0, 0, 0, 0, 0, 0, 0, 6743, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 6742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6741, 0, 6740,
6739, 0, 0, 6738, 6737, 0, 6736, 0, 0, 0, 0, 6735, 6734, 0, 6733,
0, 0, 0, 6732, 0, 0, 0, 0, 0, 0, 0, 0, 6731, 6730, 0, 6729, 0, 0,
0, 6728, 0, 0, 0, 0, 0, 0, 0, 6727, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6726, 6725, 0, 6724, 0, 0, 0, 6723, 0, 0, 0, 0,
0, 0, 0, 6722, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6721,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6720, 6719, 0, 6718, 0, 0, 0, 6717,
0, 0, 0, 0, 0, 0, 0, 6716, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 6715, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6714, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6713, 0, 6712, 6711,
0, 0, 6710, 6709, 0, 6708, 0, 0, 0, 0, 6707, 6706, 0, 6705, 0, 0,
0, 6704, 0, 0, 0, 0, 0, 0, 0, 0, 6703, 6702, 0, 6701,  0,  0,  0,
6700, 0, 0, 0, 0, 0, 0, 0, 6699, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 6698, 6697, 0, 6696, 0, 0, 0, 6695, 0, 0, 0, 0, 0,
0, 0, 6694, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6693, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 6692, 6691, 0, 6690, 0, 0, 0, 6689, 0,
0, 0, 0, 0, 0, 0, 6688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 6687, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6686, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6685, 6684, 0, 6683, 0, 0, 0,
6682, 0, 0, 0, 0, 0, 0, 0, 6681, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6679, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1601, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1609, 0, 0, 0, 0, 0, 0, 0, 6678, 0, 0,  0,  6677,  0,
6676, 6675, 0, 0, 0, 0, 0, 0, 0, 0, 6674, 0, 0, 0, 6673, 0, 6672,
6671, 0, 0, 0, 0, 6670, 0, 6669, 6668, 0, 0, 6667, 6666, 0, 6665,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6664, 0, 0, 0, 6663, 0, 6662, 6661,
0, 0, 0, 0, 6660, 0, 6659, 6658, 0, 0, 6657, 6656, 0, 6655, 0, 0,
0, 0, 0, 0, 6654, 0, 6653, 6652, 0, 0, 6651, 6650, 0, 6649, 0, 0,
0, 0, 6648, 6647, 0, 6646, 0, 0, 0, 6645, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6644, 0, 0, 0, 6643, 0, 6642, 6641, 0, 0, 0, 0,
6640, 0, 6639, 6638, 0, 0, 6637, 6636, 0, 6635, 0, 0, 0, 0, 0, 0,
6634, 0, 6633, 6632, 0, 0, 6631, 6630, 0, 6629, 0, 0, 0, 0, 6628,
6627, 0, 6626, 0, 0, 0, 6625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6624,
0, 6623, 6622, 0, 0, 6621, 6620, 0, 6619, 0, 0, 0, 0, 6618, 6617,
0, 6616, 0, 0, 0, 6615, 0, 0, 0, 0, 0, 0, 0, 0,  6614,  6613,  0,
6612, 0, 0, 0, 6611, 0, 0, 0, 0, 0, 0, 0, 6610, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6609,  0,  0,  0,
6608, 0, 6607, 6606, 0, 0, 0, 0, 6605, 0, 6604, 6603, 0, 0, 6602,
6601, 0, 6600, 0, 0, 0, 0, 0, 0, 6599, 0, 6598, 6597, 0, 0, 6596,
6595, 0, 6594, 0, 0, 0, 0, 6593, 6592, 0, 6591, 0, 0, 0, 6590, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 6589, 0, 6588, 6587, 0, 0, 6586, 6585,
0, 6584, 0, 0, 0, 0, 6583, 6582, 0, 6581, 0, 0, 0, 6580, 0, 0, 0,
0, 0, 0, 0, 0, 6579, 6578, 0, 6577, 0, 0, 0, 6576, 0, 0, 0, 0, 0,
0, 0, 6575, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6574, 0, 6573, 6572, 0, 0, 6571, 6570, 0, 6569, 0, 0, 0, 0, 6568,
6567, 0, 6566, 0, 0, 0, 6565, 0, 0, 0, 0, 0, 0, 0, 0, 6564, 6563,
0, 6562, 0, 0, 0, 6561, 0, 0, 0, 0, 0, 0, 0, 6560, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 6559, 6558, 0, 6557, 0, 0, 0,
6556, 0, 0, 0, 0, 0, 0, 0, 6555, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6554, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6553,  0,  0,  0, 6552, 0, 6551, 6550, 0, 0, 0, 0, 6549, 0, 6548,
6547, 0, 0, 6546, 6545, 0, 6544, 0, 0, 0, 0, 0, 0, 6543, 0, 6542,
6541, 0, 0, 6540, 6539, 0, 6538, 0, 0, 0, 0, 6537, 6536, 0, 6535,
0, 0, 0, 6534, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6533, 0, 6532, 6531,
0, 0, 6530, 6529, 0, 6528, 0, 0, 0, 0, 6527, 6526, 0, 6525, 0, 0,
0, 6524, 0, 0, 0, 0, 0, 0, 0, 0, 6523, 6522, 0, 6521,  0,  0,  0,
6520, 0, 0, 0, 0, 0, 0, 0, 6519, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6518, 0, 6517, 6516, 0, 0,  6515,  6514,  0,
6513, 0, 0, 0, 0, 6512, 6511, 0, 6510, 0, 0, 0, 6509, 0, 0, 0, 0,
0, 0, 0, 0, 6508, 6507, 0, 6506, 0, 0, 0, 6505, 0, 0, 0, 0, 0, 0,
0,  6504,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6503,
6502, 0, 6501, 0, 0, 0, 6500, 0, 0, 0, 0, 0, 0, 0, 6499, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6498, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6497, 0, 6496, 6495, 0, 0, 6494, 6493, 0, 6492, 0, 0,
0, 0, 6491, 6490, 0, 6489, 0, 0, 0, 6488, 0, 0, 0, 0, 0, 0, 0, 0,
6487, 6486, 0, 6485, 0, 0, 0, 6484, 0, 0, 0, 0, 0, 0, 0, 6483, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6482, 6481, 0, 6480,
0, 0, 0, 6479, 0, 0, 0, 0, 0, 0, 0, 6478, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6477, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6476,
6475, 0, 6474, 0, 0, 0, 6473, 0, 0, 0, 0, 0, 0, 0, 6472, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6471, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 6470, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6469, 0, 0, 0, 6468, 0, 6467, 6466, 0, 0, 0,
0, 6465, 0, 6464, 6463, 0, 0, 6462, 6461, 0, 6460, 0, 0, 0, 0, 0,
0, 6459, 0, 6458, 6457, 0, 0, 6456, 6455, 0, 6454, 0,  0,  0,  0,
6453, 6452, 0, 6451, 0, 0, 0, 6450, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6449, 0, 6448, 6447, 0, 0, 6446, 6445, 0, 6444, 0, 0, 0, 0, 6443,
6442, 0, 6441, 0, 0, 0, 6440, 0, 0, 0, 0, 0, 0, 0, 0, 6439, 6438,
0, 6437, 0, 0, 0, 6436, 0, 0, 0, 0, 0, 0, 0, 6435, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6434, 0, 6433, 6432, 0, 0,
6431, 6430, 0, 6429, 0, 0, 0, 0, 6428, 6427, 0, 6426,  0,  0,  0,
6425, 0, 0, 0, 0, 0, 0, 0, 0, 6424, 6423, 0, 6422, 0, 0, 0, 6421,
0, 0, 0, 0, 0, 0, 0, 6420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 6419, 6418, 0, 6417, 0, 0, 0, 6416, 0, 0, 0, 0, 0, 0, 0,
6415, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6414, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 6413, 0, 6412, 6411, 0, 0, 6410, 6409,
0, 6408, 0, 0, 0, 0, 6407, 6406, 0, 6405, 0, 0, 0, 6404, 0, 0, 0,
0, 0, 0, 0, 0, 6403, 6402, 0, 6401, 0, 0, 0, 6400, 0, 0, 0, 0, 0,
0, 0, 6399, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6398,
6397, 0, 6396, 0, 0, 0, 6395, 0, 0, 0, 0, 0, 0, 0, 6394, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6393, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  6392,  6391, 0, 6390, 0, 0, 0, 6389, 0, 0, 0, 0, 0, 0, 0,
6388, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6387, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6386, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 6385, 0, 6384, 6383, 0, 0, 6382, 6381, 0,
6380, 0, 0, 0, 0, 6379, 6378, 0, 6377, 0, 0, 0, 6376, 0, 0, 0, 0,
0, 0, 0, 0, 6375, 6374, 0, 6373, 0, 0, 0, 6372, 0, 0, 0, 0, 0, 0,
0, 6371, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0,  6370,
6369, 0, 6368, 0, 0, 0, 6367, 0, 0, 0, 0, 0, 0, 0, 6366, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6365, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 6364, 6363, 0, 6362, 0, 0, 0, 6361, 0, 0, 0, 0,  0,  0,  0,
6360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6359, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6358, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6357, 6356, 0, 6355, 0, 0, 0, 6354, 0, 0, 0, 0,
0, 0, 0, 6353, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6352,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 6351, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 6350, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6349, 0, 0, 0, 6348, 0, 6347,
6346, 0, 0, 0, 0, 6345, 0, 6344, 6343, 0, 0, 6342, 6341, 0, 6340,
0, 0, 0, 0, 0, 0, 6339, 0, 6338, 6337, 0, 0, 6336, 6335, 0, 6334,
0, 0, 0, 0, 6333, 6332, 0, 6331, 0, 0, 0, 6330, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6329, 0, 6328, 6327, 0, 0, 6326, 6325, 0, 6324, 0, 0,
0, 0, 6323, 6322, 0, 6321, 0, 0, 0, 6320, 0, 0, 0, 0, 0, 0, 0, 0,
6319, 6318, 0, 6317, 0, 0, 0, 6316, 0, 0, 0, 0, 0, 0, 0, 6315, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6314, 0, 6313,
6312, 0, 0, 6311, 6310, 0, 6309, 0, 0, 0, 0, 6308, 6307, 0, 6306,
0, 0, 0, 6305, 0, 0, 0, 0, 0, 0, 0, 0, 6304, 6303, 0, 6302, 0, 0,
0, 6301, 0, 0, 0, 0, 0, 0, 0, 6300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6299, 6298, 0, 6297, 0, 0, 0, 6296, 0, 0, 0, 0,
0, 0, 0, 6295, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6294,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6293, 0, 6292,  6291,  0,  0,
6290,  6289,  0,  6288, 0, 0, 0, 0, 6287, 6286, 0, 6285, 0, 0, 0,
6284, 0, 0, 0, 0, 0, 0, 0, 0, 6283, 6282, 0, 6281, 0, 0, 0, 6280,
0, 0, 0, 0, 0, 0, 0, 6279, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 6278, 6277, 0, 6276, 0, 0, 0, 6275, 0, 0, 0, 0, 0, 0, 0,
6274, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6273, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6272, 6271, 0, 6270, 0, 0, 0, 6269, 0, 0, 0,
0, 0, 0, 0, 6268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0,  0,
6267, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6266, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6265, 0, 6264, 6263, 0, 0,
6262, 6261, 0, 6260, 0, 0, 0, 0, 6259, 6258, 0, 6257,  0,  0,  0,
6256, 0, 0, 0, 0, 0, 0, 0, 0, 6255, 6254, 0, 6253, 0, 0, 0, 6252,
0, 0, 0, 0, 0, 0, 0, 6251, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 6250, 6249, 0, 6248, 0, 0, 0, 6247, 0, 0, 0, 0, 0, 0, 0,
6246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6245, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6244, 6243, 0, 6242, 0, 0, 0, 6241, 0, 0, 0,
0,  0,  0,  0, 6240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6239, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6238, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6237, 6236, 0, 6235,  0,  0,  0,
6234, 0, 0, 0, 0, 0, 0, 0, 6233, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6231, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6230, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6229, 0, 6228, 6227, 0,
0, 6226, 6225, 0, 6224, 0, 0, 0, 0, 6223, 6222, 0, 6221, 0, 0, 0,
6220, 0, 0, 0, 0, 0, 0, 0, 0, 6219, 6218, 0, 6217, 0, 0, 0, 6216,
0, 0, 0, 0, 0, 0, 0, 6215, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 6214, 6213, 0, 6212, 0, 0, 0, 6211, 0, 0, 0, 0, 0, 0, 0,
6210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6209, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6208, 6207, 0, 6206, 0, 0, 0, 6205, 0, 0, 0,
0, 0, 0, 0, 6204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0,  0,
6203, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6202, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 6201, 6200, 0, 6199, 0, 0, 0,
6198, 0, 0, 0, 0, 0, 0, 0, 6197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6195, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6194, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6193, 6192, 0, 6191, 0, 0, 0,
6190, 0, 0, 0, 0, 0, 0, 0, 6189, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6187, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6186, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0,  0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 1600
};

/*
** each of the thirteen card ranks has its own prime number
**
** deuce = 2
** trey  = 3
** four  = 5
** five  = 7
** ...
** king  = 37
** ace   = 41
*/
int primes[] = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41 };

int perm7[21][5] = {
  { 0, 1, 2, 3, 4 },
  { 0, 1, 2, 3, 5 },
  { 0, 1, 2, 3, 6 },
  { 0, 1, 2, 4, 5 },
  { 0, 1, 2, 4, 6 },
  { 0, 1, 2, 5, 6 },
  { 0, 1, 3, 4, 5 },
  { 0, 1, 3, 4, 6 },
  { 0, 1, 3, 5, 6 },
  { 0, 1, 4, 5, 6 },
  { 0, 2, 3, 4, 5 },
  { 0, 2, 3, 4, 6 },
  { 0, 2, 3, 5, 6 },
  { 0, 2, 4, 5, 6 },
  { 0, 3, 4, 5, 6 },
  { 1, 2, 3, 4, 5 },
  { 1, 2, 3, 4, 6 },
  { 1, 2, 3, 5, 6 },
  { 1, 2, 4, 5, 6 },
  { 1, 3, 4, 5, 6 },
  { 2, 3, 4, 5, 6 }
};

int omahaPermutations[60][5] = {
  {5, 6, 0, 1, 2},
  {5, 6, 0, 1, 3},
  {5, 6, 0, 1, 4},
  {5, 6, 0, 2, 3},
  {5, 6, 0, 2, 4},
  {5, 6, 0, 3, 4},
  {5, 6, 1, 2, 3},
  {5, 6, 1, 2, 4},
  {5, 6, 1, 3, 4},
  {5, 6, 2, 3, 4},
  {5, 7, 0, 1, 2},
  {5, 7, 0, 1, 3},
  {5, 7, 0, 1, 4},
  {5, 7, 0, 2, 3},
  {5, 7, 0, 2, 4},
  {5, 7, 0, 3, 4},
  {5, 7, 1, 2, 3},
  {5, 7, 1, 2, 4},
  {5, 7, 1, 3, 4},
  {5, 7, 2, 3, 4},
  {5, 8, 0, 1, 2},
  {5, 8, 0, 1, 3},
  {5, 8, 0, 1, 4},
  {5, 8, 0, 2, 3},
  {5, 8, 0, 2, 4},
  {5, 8, 0, 3, 4},
  {5, 8, 1, 2, 3},
  {5, 8, 1, 2, 4},
  {5, 8, 1, 3, 4},
  {5, 8, 2, 3, 4},
  {6, 7, 0, 1, 2},
  {6, 7, 0, 1, 3},
  {6, 7, 0, 1, 4},
  {6, 7, 0, 2, 3},
  {6, 7, 0, 2, 4},
  {6, 7, 0, 3, 4},
  {6, 7, 1, 2, 3},
  {6, 7, 1, 2, 4},
  {6, 7, 1, 3, 4},
  {6, 7, 2, 3, 4},
  {6, 8, 0, 1, 2},
  {6, 8, 0, 1, 3},
  {6, 8, 0, 1, 4},
  {6, 8, 0, 2, 3},
  {6, 8, 0, 2, 4},
  {6, 8, 0, 3, 4},
  {6, 8, 1, 2, 3},
  {6, 8, 1, 2, 4},
  {6, 8, 1, 3, 4},
  {6, 8, 2, 3, 4},
  {7, 8, 0, 1, 2},
  {7, 8, 0, 1, 3},
  {7, 8, 0, 1, 4},
  {7, 8, 0, 2, 3},
  {7, 8, 0, 2, 4},
  {7, 8, 0, 3, 4},
  {7, 8, 1, 2, 3},
  {7, 8, 1, 2, 4},
  {7, 8, 1, 3, 4},
  {7, 8, 2, 3, 4}
};